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11120000012120 = 23529112922213823
BaseRepresentation
bin1010000111010001001110…
…1001101000111101011000
31110101001122220211220102202
42201310103221220331120
52424142230000341440
635352242452145332
72225251652356136
oct241642351507530
943331586756382
1011120000012120
1135a7a6912214a
1212b7169608248
136287c4613a9c
142a62d48c2756
151443cb663615
hexa1d13a68f58

11120000012120 has 128 divisors (see below), whose sum is σ = 25924127328000. Its totient is φ = 4287762984960.

The previous prime is 11120000012081. The next prime is 11120000012123. The reversal of 11120000012120 is 2121000002111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120000012123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2908708529 + ... + 2908712351.

It is an arithmetic number, because the mean of its divisors is an integer number (202532244750).

Almost surely, 211120000012120 is an apocalyptic number.

11120000012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120000012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12962063664000).

11120000012120 is an abundant number, since it is smaller than the sum of its proper divisors (14804127315880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11120000012120 is a wasteful number, since it uses less digits than its factorization.

11120000012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7213 (or 7209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11120000012120 its reverse (2121000002111), we get a palindrome (13241000014231).

The spelling of 11120000012120 in words is "eleven trillion, one hundred twenty billion, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1129 1160 2221 2258 3823 4442 4516 5645 7646 8884 9032 11105 11290 15292 17768 19115 22210 22580 30584 32741 38230 44420 45160 64409 65482 76460 88840 110867 128818 130964 152920 163705 221734 257636 261928 322045 327410 443468 515272 554335 644090 654820 886936 1108670 1288180 1309640 2217340 2507509 2576360 4316167 4434680 5015018 8490883 8632334 10030036 12537545 16981766 17264668 20060072 21580835 25075090 33963532 34529336 42454415 43161670 50150180 67927064 72717761 84908830 86323340 100300360 125168843 145435522 169817660 172646680 246235607 250337686 290871044 339635320 363588805 492471214 500675372 581742088 625844215 727177610 984942428 1001350744 1231178035 1251688430 1454355220 1969884856 2462356070 2503376860 2908710440 4924712140 5006753720 9586206907 9849424280 19172413814 38344827628 47931034535 76689655256 95862069070 191724138140 278000000303 383448276280 556000000606 1112000001212 1390000001515 2224000002424 2780000003030 5560000006060 11120000012120